Submission #259225

#	Time	Username	Problem	Language	Result	Execution time	Memory
259225		leaked	Krov (COCI17_krov)	C++14	14 / 140	1591 ms	78736 KiB

krov

#include<bits/stdc++.h>
using namespace std;
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>
//
//    #pragma GCC optimize("unroll-loops")
//    #pragma GCC optimize("Ofast")
//    #pragma GCC optimize("-O3")
//    #pragma GCC optimize("no-stack-protector")
//    #pragma GCC optimize("fast-math")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx")
//#define LOCAL
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
  enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifndef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (auto it = d.b; it != d.e; ++it)
	*this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define fi first
#define f first
#define se second
#define s second
#define vi_a vector<int>a;
#define p_b push_back
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ll long long
typedef unsigned long long ull;
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define fast_io cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);
#define all(x) x.begin(),x.end()
#define getfiles    ifstream cin("input.txt");ofstream cout("output.txt");
#define pw(x) (1ll << x)
#define sz(x) (int)x.size()
#define endl "\n"
#define rall(x) x.rbegin(),x.rend()
#define len(a) (ll)a.size()
#define rep(x,l,r) for(ll x=l;x<r;x++)

//using namespace __gnu_pbds;
ld eps = (ld)1 / 1e6;
const ld pi=3.14159265359;
ll inf = 1e18,mod1=1e9+7;
ll sqr(ll a) { return a * a; }
ll qb(ll a) { return a * a * a; }
void umin(ll &a,ll b){a=min(a,b);}
void umax(ll &a,ll b){a=max(a,b);}
bool is_prime(ll val){for(ll i=2;i<=sqrt(val);i++)if(val%i==0)return 0; return 1;}
ll gcd(ll a, ll b) { return !a ? b : gcd(b % a, a); }
ll binpow(ll a, ll b, ll mod) { return b ? (b % 2 ? (a * (sqr(binpow(a, b / 2, mod)) % mod)) % mod : sqr(binpow(a, b / 2, mod)) % mod) : 1; }ll binmult(ll a, ll b, ll mod) { return b ? (b % 2 ? (2 * binmult(a, b / 2, mod) + a) % mod : (2 * binmult(a, b / 2, mod)) % mod) : 0; }
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
const ll R=1e4;
const ll tx[4]={0,0,-1,1};
const ll ty[4]={-1,1,0,0};
const char rev_to[4]={'E','W','N','S'};
const int M=999999937;
const int N=2e6+1;
const int ppp=73;
const int Y=1;
const int X=0;
//typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> st;
auto rnd=bind(uniform_int_distribution<ll>(1,125),mt19937(time(0)));
void bad(){
    cout<<"NE";
    exit(0);
}
#define int long long
vector<int>kek1,kek2;
int f[N],s[N];
/// j<i , j>i
vector<vector<ll>>l(2,vector<ll>(N));
vector<vector<ll>>r(2,vector<ll>(N));
void add(vector<ll> &who,int pos,int val){
    ++pos;
    while(pos<N){
        who[pos]+=val;
        pos+=pos&-pos;
    }
}
ll get(const vector<ll> &who,int pos){
    ++pos;
    ll ans=0;
    while(pos>0){
        ans+=who[pos];
        pos-=pos&-pos;
    }
    return ans;
}
int gtl(ll val){
    return upper_bound(all(kek1),val)-kek1.begin()-1;
}
int gtr(ll val){
    return upper_bound(all(kek2),val)-kek2.begin()-1;
}
ll ff(ll val,int i){
    int pl=gtl(val-i);int pr=gtr(val+i);
    ///меньшие слева
    ll a1=get(l[0],pl-1)*1ll*(val-i)-get(l[1],pl-1);
//     debug()<<imie(get(l[0],pl-1)*1ll*(val-i))<<imie(get(l[1],pl-1));
    ///большие слева
    int psd=gtl(N);
    a1+=(get(l[1],psd)-get(l[1],pl))-(get(l[0],psd)-get(l[0],pl))*1ll*(val-i);
//    debug()<<imie((get(l[1],psd)-get(l[1],pl)))<<imie((get(l[0],psd)-get(l[0],pl))*1ll*(val-i));
    ll a2=get(r[0],pr-1)*1ll*(val+i)-get(r[1],pr-1);
//    debug()<<imie(get(r[0],pr-1)*1ll*(val+i))<<imie(get(r[1],pr-1));
    psd=gtr(N);
    a2+=(get(r[1],psd)-get(r[1],pr))-(get(r[0],psd)-get(r[0],pr))*1ll*(val+i);
    if(pl<0 || pr<0){return inf;}
//    debug()<<imie((get(r[1],psd)-get(r[1],pr)))<<imie((get(r[0],psd)-get(r[0],pr)));
    return a1+a2;
}
signed main()
{
//    freopen("in.txt","r",stdin);
    fast_io;
    int n;
    cin>>n;
    vector<int>a(n);
    for(auto &z : a){
        cin>>z;
    }
    for(int i=0;i<n;i++){
        kek1.p_b(a[i]-i);
        kek2.p_b(a[i]+i);
    }
    sort(all(kek1));sort(all(kek2));kek1.erase(unique(all(kek1)),kek1.end());kek2.erase(unique(all(kek2)),kek2.end());
//    debug()<<imie(kek1)<<imie(kek2);
    for(int i=0;i<n;i++){
        int pr=gtr(a[i]+i);
        add(r[0],pr,1);
        add(r[1],pr,a[i]+i);
    }
    ll ans=inf;
    for(int i=0;i<n;i++){
        int pl=gtl(a[i]-i),pr=gtr(a[i]+i);
        ///delright
        add(r[0],pr,-1);add(r[1],pr,-a[i]-i);
        ///addleft
        add(l[0],pl,1);add(l[1],pl,a[i]-i);
        int l=max(i+1,n-i),r=1e9+2;
        while(r-l>=10){
            int tr=r-(r-l)/3;
            int tl=l+(r-l)/3;
            if(ff(tr,i)>ff(tl,i))r=tr;
            else l=tl;
        }
        for(int j=l;j<=r;j++){
            umin(ans,ff(j,i));
        }
    }
    cout<<ans;
    return 0;
}
/*
hj = hi- |i - j|.
i>j
hj=hi-i+j
hj-j=hi-i
i<j
hj=hi-(j-i)
hj=hi-j+i
hj+j=hi+i
*/

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